document.write( "Question 63791: Solve this word problem. The cost of 1000 cubic feed of natural gas is $39 and the cost of 3000 cubic feet is $99. There is a linear equation that expresses the cost C in terms of the number of cubic feet n. Find the equation and find the cost of 2400 cubic feet of natural gas.\r
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document.write( "Please explain the procedure you used to solve this problem.\r
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document.write( "Thank you. \n" );
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Algebra.Com's Answer #46234 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! Solve this word problem. The cost of 1000 cubic feed of natural gas is $39 and the cost of 3000 cubic feet is $99. There is a linear equation that expresses the cost C in terms of the number of cubic feet n. Find the equation and find the cost of 2400 cubic feet of natural gas. \n" ); document.write( "Please explain the procedure you used to solve this problem. \n" ); document.write( "Thank you. \n" ); document.write( "LET COST OF GAS C BE RELATED TO QUANTITY Q BY THE LINEAR RELATION \n" ); document.write( "C=A*Q+B.WHERE A AND B ARE CONSTANTS TO BE FOUND. \n" ); document.write( "WEW HAVE C=39$ WHEN Q=1000 CUF AND C=99$ WHEN Q = 3000 CUF.SO \n" ); document.write( "1000A+B=39................1 \n" ); document.write( "3000A+B=99...................2 \n" ); document.write( "EQN.2 - EQN.1 \n" ); document.write( "3000A+B-1000A-B=99-39 \n" ); document.write( "2000A=60 \n" ); document.write( "A=60/2000=3/100=0.03 \n" ); document.write( "PUTTING IN EQN.1 \n" ); document.write( "1000*0.03+B=39 \n" ); document.write( "30+B=39 \n" ); document.write( "B=39-30=9 \n" ); document.write( "HENCE \n" ); document.write( "C=0.03Q+9 IS THE LINEAR RELATION \n" ); document.write( " |